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42130421300 = 22521123839091
BaseRepresentation
bin100111001111001010…
…110011011000110100
311000202010211011010002
4213033022303120310
51142240341440200
631204321050432
73021013446422
oct471712633064
9130663734102
1042130421300
111695a585100
1281b9486a18
133c85562096
1420794d6112
151168a5cbd5
hex9cf2b3634

42130421300 has 108 divisors (see below), whose sum is σ = 100763217408. Its totient is φ = 15278472000.

The previous prime is 42130421299. The next prime is 42130421303. The reversal of 42130421300 is 312403124.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42130421303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4629755 + ... + 4638845.

Almost surely, 242130421300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42130421300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50381608704).

42130421300 is an abundant number, since it is smaller than the sum of its proper divisors (58632796108).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42130421300 is a wasteful number, since it uses less digits than its factorization.

42130421300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9510 (or 9492 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 42130421300 its reverse (312403124), we get a palindrome (42442824424).

The spelling of 42130421300 in words is "forty-two billion, one hundred thirty million, four hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 383 484 550 605 766 1100 1210 1532 1915 2420 3025 3830 4213 6050 7660 8426 9091 9575 12100 16852 18182 19150 21065 36364 38300 42130 45455 46343 84260 90910 92686 100001 105325 181820 185372 200002 210650 227275 231715 400004 421300 454550 463430 500005 909100 926860 1000010 1100011 1158575 2000020 2200022 2317150 2500025 3481853 4400044 4634300 5000050 5500055 6963706 10000100 11000110 13927412 17409265 22000220 27500275 34818530 38300383 55000550 69637060 76600766 87046325 110001100 153201532 174092650 191501915 348185300 383003830 421304213 766007660 842608426 957509575 1685216852 1915019150 2106521065 3830038300 4213042130 8426084260 10532605325 21065210650 42130421300